28 citations · 155 across the 18 of their papers we have counts for
18 papers
Adaptive choice of near-optimal expansion points for interpolation-based structure-preserving model reduction
Quirin Aumann, Steffen W. R. Werner
Interpolation-based methods are well-established and effective approaches for the efficient generation of accurate reduced-order surrogate models. Common challenges for such method…
Structured interpolation for multivariate transfer functions of quadratic-bilinear systems
Peter Benner, Serkan Gugercin, Steffen W. R. Werner
High-dimensional/high-fidelity nonlinear dynamical systems appear naturally when the goal is to accurately model real-world phenomena. Many physical properties are thereby encoded…
Structured barycentric forms for interpolation-based data-driven reduced modeling of second-order systems
Ion Victor Gosea, Serkan Gugercin, Steffen W. R. Werner
An essential tool in data-driven modeling of dynamical systems from frequency response measurements is the barycentric form of the underlying rational transfer function. In this wo…
Low-complexity linear parameter-varying approximations of incompressible Navier-Stokes equations for truncated state-dependent Riccati feedback
Jan Heiland, Steffen W. R. Werner
Nonlinear feedback design via state-dependent Riccati equations is well established but unfeasible for large-scale systems because of computational costs. If the system can be embe…
Context-aware controller inference for stabilizing dynamical systems from scarce data
Steffen W. R. Werner, Benjamin Peherstorfer
This work introduces a data-driven control approach for stabilizing high-dimensional dynamical systems from scarce data. The proposed context-aware controller inference approach is…
A unifying framework for tangential interpolation of structured bilinear control systems
Peter Benner, Serkan Gugercin, Steffen W. R. Werner
In this paper, we consider the structure-preserving model order reduction problem for multi-input/multi-output bilinear control systems by tangential interpolation. We propose a ne…
Multi-fidelity robust controller design with gradient sampling
Steffen W. R. Werner, Michael L. Overton, Benjamin Peherstorfer
Robust controllers that stabilize dynamical systems even under disturbances and noise are often formulated as solutions of nonsmooth, nonconvex optimization problems. While methods…
On the sample complexity of stabilizing linear dynamical systems from data
Steffen W. R. Werner, Benjamin Peherstorfer
Learning controllers from data for stabilizing dynamical systems typically follows a two step process of first identifying a model and then constructing a controller based on the i…
Structured model order reduction for vibro-acoustic problems using interpolation and balancing methods
Quirin Aumann, Steffen W. R. Werner
Vibration and dissipation in vibro-acoustic systems can be assessed using frequency response analysis. Evaluating a frequency sweep on a full-order model can be very costly, so mod…
A low-rank solution method for Riccati equations with indefinite quadratic terms
Peter Benner, Jan Heiland, Steffen W. R. Werner
Algebraic Riccati equations with indefinite quadratic terms play an important role in applications related to robust controller design. While there are many established approaches…
Structured vector fitting framework for mechanical systems
Steffen W. R. Werner, Ion Victor Gosea, Serkan Gugercin
In this paper, we develop a structure-preserving formulation of the data-driven vector fitting algorithm for the case of modally damped mechanical systems. Using the structured pol…
Robust output-feedback stabilization for incompressible flows using low-dimensional -controllers
Peter Benner, Jan Heiland, Steffen W. R. Werner
Output-based controllers are known to be fragile with respect to model uncertainties. The standard -control theory provides a general approach to robust contr…
Structure-Preserving Model Reduction for Dissipative Mechanical Systems
Rebekka S. Beddig, Peter Benner, Ines Dorschky +4
Suppressing vibrations in mechanical systems, usually described by second-order dynamical models, is a challenging task in mechanical engineering in terms of computational resource…
Structure-Preserving Interpolation for Model Reduction of Parametric Bilinear Systems
Peter Benner, Serkan Gugercin, Steffen W. R. Werner
In this paper, we present an interpolation framework for structure-preserving model order reduction of parametric bilinear dynamical systems. We introduce a general setting, coveri…
Structure-Preserving Interpolation of Bilinear Control Systems
Peter Benner, Serkan Gugercin, Steffen W. R. Werner
In this paper, we extend the structure-preserving interpolatory model reduction framework, originally developed for linear systems, to structured bilinear control systems. Specific…
MORLAB -- The Model Order Reduction LABoratory
Peter Benner, Steffen W. R. Werner
For an easy use of model order reduction techniques in applications, software solutions are needed. In this paper, we describe the MORLAB, Model Order Reduction LABoratory, toolbox…
Frequency- and Time-Limited Balanced Truncation for Large-Scale Second-Order Systems
Peter Benner, Steffen W. R. Werner
Considering the use of dynamical systems in practical applications, often only limited regions in the time or frequency domain are of interest. Therefor, it usually pays off to com…
Hankel-Norm Approximation of Large-Scale Descriptor Systems
Peter Benner, Steffen W. R. Werner
The Hankel-norm approximation is a model reduction method which provides the best approximation in the Hankel semi-norm. In this paper the computation of the optimal Hankel-norm ap…